Finding the Third Proportional to 205,918.88 and 377,665.88

Step by Step Solution

1. Step 1: Write the proportion equation
   205,918.88 : 377,665.88 = 377,665.88 : x
2. Step 2: Convert to fraction form
   205,918.88/377,665.88 = 377,665.88/x
3. Step 3: Cross multiply
   205,918.88x = 377,665.88 × 377,665.88
4. Step 4: Simplify right side
   205,918.88x = 142,631,513,139.52
5. Step 5: Solve for x
   x = 142,631,513,139.52/205,918.88
6. Step 6: Final answer
   x = 692,658.76